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Understanding 9/11Mathematics and music
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xiv, 161 p. : 26 cm
Includes bibliographical references (p. 147) and index
Basic mathematical and musical concepts -- Horizontal structure -- Harmony and related numerology -- Ratios and musical intervals -- Logarithms and musical intervals -- Chromatic scales -- Octave identification and modular arithmetic -- Algebraic properties of the integers -- The integers as intervals -- Timbre and periodic functions -- The rational numbers as musical intervals -- Tuning the scale to obtain rational intervals
Includes bibliographical references (p. 147) and index
Basic mathematical and musical concepts -- Horizontal structure -- Harmony and related numerology -- Ratios and musical intervals -- Logarithms and musical intervals -- Chromatic scales -- Octave identification and modular arithmetic -- Algebraic properties of the integers -- The integers as intervals -- Timbre and periodic functions -- The rational numbers as musical intervals -- Tuning the scale to obtain rational intervals
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